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Simplifying 1.4q + -2.6 + -1.9q = 1.5q + -5.4 Reorder the terms: -2.6 + 1.4q + -1.9q = 1.5q + -5.4 Combine like terms: 1.4q + -1.9q = -0.5q -2.6 + -0.5q = 1.5q + -5.4 Reorder the terms: -2.6 + -0.5q = -5.4 + 1.5q Solving -2.6 + -0.5q = -5.4 + 1.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.5q' to each side of the equation. -2.6 + -0.5q + -1.5q = -5.4 + 1.5q + -1.5q Combine like terms: -0.5q + -1.5q = -2q -2.6 + -2q = -5.4 + 1.5q + -1.5q Combine like terms: 1.5q + -1.5q = 0.0 -2.6 + -2q = -5.4 + 0.0 -2.6 + -2q = -5.4 Add '2.6' to each side of the equation. -2.6 + 2.6 + -2q = -5.4 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + -2q = -5.4 + 2.6 -2q = -5.4 + 2.6 Combine like terms: -5.4 + 2.6 = -2.8 -2q = -2.8 Divide each side by '-2'. q = 1.4 Simplifying q = 1.4
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